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Finding the Third Proportional to 589,687 and 883,606

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Solution

The third proportional to 589,687 and 883,606 is: 1,324,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,687 : 883,606 = 883,606 : x
  2. Step 2: Convert to fraction form
    589,687/883,606 = 883,606/x
  3. Step 3: Cross multiply
    589,687x = 883,606 × 883,606
  4. Step 4: Simplify right side
    589,687x = 780,759,563,236
  5. Step 5: Solve for x
    x = 780,759,563,236/589,687
  6. Step 6: Final answer
    x = 1,324,023.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.